Well-posedness of the linearized problem for contact MHD discontinuities [article]

Alessandro Morando, Yuri Trakhinin, Paola Trebeschi
2014 arXiv   pre-print
We study the free boundary problem for contact discontinuities in ideal compressible magnetohydrodynamics (MHD). They are characteristic discontinuities with no flow across the discontinuity for which the pressure, the magnetic field and the velocity are continuous whereas the density and the entropy may have a jump. Under the Rayleigh-Taylor sign condition [∂ p/∂ N]<0 on the jump of the normal derivative of the pressure satisfied at each point of the unperturbed contact discontinuity, we prove
more » ... the well-posedness in Sobolev spaces of the linearized problem for 2D planar MHD flows.
arXiv:1311.6373v2 fatcat:34upe4pywvddtno7ol44mdizaa